
where \(f(\beta _p,\beta _q)\)  is the unique solution in \(\lbrace 0,\dots ,pq-1\rbrace \) , guaranteed by Chinese Reminder Theorem [1]}, of the equations
\(\left\lbrace \begin{array}{l l}f(\beta _p,\beta _q) \equiv \beta _p &(\text{mod}~q)\\f(\beta _p,\beta _q) \equiv \beta _q &(\text{mod}~p)\end{array}\right.\) 
